Higher Plus
7th April 1977
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(80) + sqrt(20), giving your answer in the form a sqrt(b).
- 3Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 405.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
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